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3 years ago

12

On the Moon, the acceleration due to the effect of gravity is only about 1/6 of that on Earth. An astronaut whose weight on Eart

h is 570 N travels to the lunar surface.
(a) What is his weight as measured on the Moon? (in Newtons)
(b) What is his mass on the Moon (in kg)?

1 answer:

Ulleksa [173]3 years ago

8 0

A = 94.22 Newtons

b = 58.16 kg

Gravity on the moon is 1.62 m/s^2

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Given data

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The free-body diagram of the above configuration is shown below:

Here, the normal reaction force on the box is N, the acceleration due to gravity is denoted as g, the friction force on the box is F_f, and the mass of the box is denoted as m.

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The expression for the work done by the pushing force is given as:

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The expression for the mass of the box is given as:

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$\begin{gathered} m=\frac{94\text{ N}}{0.28\times9.8m/s^2\times\cos 30^o+9.8m/s^2\times\sin 30^0} \\ m=12.9\text{ kg} \end{gathered}$

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